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Finding the Fourth Proportional to 8,138.88, 12,209.30 and 2,872.80

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Solution

The fourth proportional to 8,138.88, 12,209.30 and 2,872.80 is: 4,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.88 : 12,209.30 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    8,138.88/12,209.30 = 2,872.80/x
  3. Step 3: Cross multiply
    8,138.88x = 12,209.30 × 2,872.80
  4. Step 4: Simplify right side
    8,138.88x = 35,074,862.68
  5. Step 5: Solve for x
    x = 35,074,862.68/8,138.88
  6. Step 6: Final answer
    x = 4,309.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.